采用格子Boltzmann方法对液滴撞击粗糙壁面上液膜的过程进行了研究,主要考察了相对液膜厚度h、相对凹槽宽度d*、相对凹槽深度L*等物理参数对界面运动过程的影响.首先,当h较小时,由液滴溅起形成的水花半径r随时间满足r/2R≈α√Ut/2R的关系,且随着相对液膜厚度h的增大,系数a变小,但当h较大时,该关系式不能很好地描述水花半径的增长过程,且水花的飞溅现象消失.其次,相对凹槽宽度d*对水花的形成及飞溅也会产生重要影响,当d*较小时,随着d*的增大,系数a先减小再增大,当d*〉8时凹槽宽度的增加对水花半径的变化影响较小.最后,相对凹槽深度L*对水花的形成影响较小,但对水花的飞溅现象影响较大.
The process of the droplet impact onto the liquid film on the rough solid surface, as one of the basic multiphase problems, is very important in many fields of science and engineering. On the other hand, the problem is also very complicated since there are many parameters that may influence the process of the droplet impact on the rough solid surface with a liquid film. Up to now, there are still little research on this problem, and to gain a better understanding on the physical mechanics of the droplet impact onto the film on the rough solid surface, it is desirable to conduct a detailed study. To clearly understand the physical phenomena appearing in the process of droplet impact on the liquid film, a parametric study on this problem is also carried out based on a recently developed lattice Boltzmann method in which a MRT lattice Boltzmann model is used to solve the Navier-Stokes equations, and the other is adopted to solve the Cahn-Hilliard equation that is used to depict the interface between different phases. In this paper, the effects of the relative thickness of film(h), the relative width of cavity(d*) and the relative depth of cavity(L*) on the dynamic behavior of interface are investigated in detail, and the velocity and pressure fields are also presented. In order to reduce the influence of lattice, we fix the lattice to be 600×120 for gas, which is fine enough to give accurate results. In addition, in our simulations, We=500, Re=480, viscosity ratio and density ratio are set to be 2:1. The numerical results first show that, the phenomena of crown and entrainment can be observed obviously during the process of droplet impact onto the liquid film on the rough interface when We and Re are large. The radius of spray(r), which is formed by the droplet impact onto liquid film, is related to time through the relation r/2R≈√αUt/2R when h is small, which is coincident with the result of droplet impact onto the liquid film on smooth surface, and additionally the coefficient a would d